Surface/Volume How Geometry Explains Why Grain Elevators Explode, Hummingbirds Hover, and Asteroids are Colder than Ice /

This book explains that diffusion, osmosis, dissolution, evaporation, and heat loss all preferentially affect small bodies due to their high surface/volume ratios. Because surface area increases as the square of length, but volume (and mass) increase as the cube, large objects have low surface/volum...

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Bibliographic Details
Main Author: Rubin, Alan E. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Edition:1st ed. 2023.
Subjects:
Online Access:https://doi.org/10.1007/978-3-031-23749-2
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245 1 0 |a Surface/Volume  |h [electronic resource] :  |b How Geometry Explains Why Grain Elevators Explode, Hummingbirds Hover, and Asteroids are Colder than Ice /  |c by Alan E. Rubin. 
250 |a 1st ed. 2023. 
264 1 |a Cham :  |b Springer Nature Switzerland :  |b Imprint: Springer,  |c 2023. 
300 |a 1 online resource (XVII, 182 p. 134 illus.).  |b 109 illus. in color. 
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505 0 |a Introduction -- A Truncated History of Geometry -- Middle School Math -- Asteroids, Moons, Planets, and Meteorites -- Geologic Processes -- Geometry of Life -- Biochemistry -- Chemical Reactions -- Ecology -- Manufacturing. 
520 |a This book explains that diffusion, osmosis, dissolution, evaporation, and heat loss all preferentially affect small bodies due to their high surface/volume ratios. Because surface area increases as the square of length, but volume (and mass) increase as the cube, large objects have low surface/volume ratios and small objects have high surface/volume ratios. This simple physical constraint governs much of the physical world. It accounts for why the Earth has active volcanoes, but the Moon does not, why the human brain has numerous folds, why deciduous trees lose their leaves every Fall, and why nanoparticles of gold melt at surprisingly low temperatures. It is a phenomenon well known to every scientist, but this book is the first comprehensive treatment of this effect. 
532 8 |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. 
532 8 |a No reading system accessibility options actively disabled 
532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
588 |a Print version record. 
650 0 |a Engineering mathematics. 
650 0 |a Engineering  |x Data processing. 
650 0 |a Planetary science. 
650 0 |a Engineering geology. 
650 1 4 |a Mathematical and Computational Engineering Applications. 
650 2 4 |a Planetary Science. 
650 2 4 |a Geoengineering. 
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776 0 8 |i Printed edition:  |z 9783031237485 
776 0 8 |i Printed edition:  |z 9783031237508 
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